420711760 has 80 divisors (see below), whose sum is σ = 1134677376. Its totient is φ = 142078464.

The previous prime is 420711743. The next prime is 420711773. The reversal of 420711760 is 67117024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31914 + ... + 43126.

Almost surely, 2^420711760 is an apocalyptic number.

420711760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420711760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567338688).

420711760 is an abundant number, since it is smaller than the sum of its proper divisors (713965616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420711760 is a wasteful number, since it uses less digits than its factorization.

420711760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 420711760 is about 20511.2593470026. The cubic root of 420711760 is about 749.3100380573.

Adding to 420711760 its reverse (67117024), we get a palindrome (487828784).

The spelling of 420711760 in words is "four hundred twenty million, seven hundred eleven thousand, seven hundred sixty".